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" Hence (1) t is independent of the amplitude; that is, the vibrations are isochronous; (2) t is proportional to the square root of the moment of inertia of the system; (3) t is proportional to the square root of the length of the wire. "
Notes, Problems and Laboratory Exercises in Mechanics, Sound, Light, Thermo ... - Page 61
by Halsey Dunwoody - 1917 - 369 pages
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Journal, Volume 3

Electricity - 1874 - 592 pages
...of X, this velocity is proportional to the square root of the moment of the force f, and inversely proportional to the square root of the moment of inertia of the moving system. To attain a high velocity it is necessary to concentrate on a very small armature a...
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Higher Mathematics for Students of Chemistry and Physics: With Special ...

Joseph William Mellor - Chemistry, Physical and theoretical - 1902 - 620 pages
...oscillation of a magnet in thf magnetic field, when there is no damping action exe.rted on the magnet, is proportional to the square root of the moment of inertia of the magnetic needle, and inversely proportional to the square root of the directive force exerted by the...
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Physical Laboratory Experiments, General Physical Measurements and Mechanics

Harry Manley Goodwin - Mechanics - 1904 - 146 pages
...displacement I ~~ acceleration we have jo JTI .Tied. . , in t-»V--TVZa-*VlS as T = Ia;le,t=Tr\/^Hence (1) t is independent of the amplitude; that is, the...isochronous; (2) t is proportional to the square root of the moment of inertia of the system; (3) t is proportional to the square root of the length of the...
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Harvard Engineering Journal: A Quarterly Devoted to the Interests ..., Volume 7

Architecture - 1908 - 264 pages
...determining factors. Thus the hunting frequency is proportional to the impressed emf and inversely proportional to the square root of the moment of inertia, of the combined impedance and of the speed; but as most of the synchronous impedance of a modern alternator...
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Notes, Problems and Laboratory Exercises in Mechanics, Sound, Light, Thermo ...

Halsey Dunwoody - Graphic statics - 1917 - 390 pages
...general formula /di \ a /displacement acceleration/ we have IT J/ai _, T . .In as T = Ia; ie, <=ir\T~. Hence (1) t is independent of the amplitude; that...isochronous; (2) t is proportional to the square root of the moment of inertia of the system; (3) t is proportional to the square root of the length of the...
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Principles of Alternating-current Machinery

Ralph Restieaux Lawrence - Electric machinery - 1920 - 666 pages
...inversely proportional to the terminal voltage, V, of the system before hunting starts. It is also proportional to the square root of the moment of inertia of the moving parts of the generator and its prime mover. The time of oscillation will increase nearly as...
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Alternating-current Machinery: A Text-book on the Theory and Performance of ...

Richard Edmund Brown - Electric generators - 1927 - 298 pages
...is therefore proportional to the square root of the synchronous impedance of the armature and also proportional to the square root of the moment of inertia of the rotor. Therefore, the free period of the rotor may be increased either by increasing its moment of...
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New Challenges in Astrophysics

Thanu Padmanabhan - Astrophysics - 1997 - 200 pages
...such that it can execute torsional oscillations, about the axis defined by the fibre, with a period proportional to the square root of the moment of inertia of the dumb-bell divided by the specific restoring torque of the fibre, which in turn depends on the fourth...
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The Horological Journal, Volumes 26-27

Clocks and watches - 1883 - 728 pages
...of a balance, embodied by M. Phillips in the formula, T=T / iL we find that the time of vibration is proportional to the square root of the moment of inertia of the balance. Moment of inertia of a body is a measure of its tendency to resist change in its velocity...
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Harvard Engineering Journal: A Quarterly Devoted to the ..., Volumes 7-8

Engineering - 1908 - 490 pages
...determining factors. Thus the hunting frequency is proportional to the impressed emf and inversely proportional to the square root of the moment of inertia, of the combined impedance and of the speed ; but as most of the synchronous impedance of a modern alternator...
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